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Finding the Fourth Proportional to 6,893.99, 9,513.68 and 3,910.40

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Solution

The fourth proportional to 6,893.99, 9,513.68 and 3,910.40 is: 5,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.99 : 9,513.68 = 3,910.40 : x
  2. Step 2: Convert to fraction form
    6,893.99/9,513.68 = 3,910.40/x
  3. Step 3: Cross multiply
    6,893.99x = 9,513.68 × 3,910.40
  4. Step 4: Simplify right side
    6,893.99x = 37,202,300.58
  5. Step 5: Solve for x
    x = 37,202,300.58/6,893.99
  6. Step 6: Final answer
    x = 5,396.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.